In testing a hypothesis Ho: u > 3, we found that the test statistic is t = 2.7565, the critical value is t = 2.064 The decision would be to: a. for 2.7565 Fail to accept the null hypothesis b. for 2.7565 accept the alternative hypothesis O c. for 2.7565 Reject the alternative hypothesis d. for 2.7565 Reject the null hypothesis
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- Last year 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. For hypothesis: H0: p >= .46 ; Ha:p < .46 , compute the P-value that could be used to determine whether the proportion of business owners providing holiday gifts has decreased from last year.A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. She will only accept the shipment if there is convincing evidence that this proportion is less than 0.06. She selects a sample of 200 apples near the tailgate from the over %3D 20,000 apples on the truck to test the hypotheses Ho: p = 0.06, Ha: p < 0.06. Which of the following conditions for inference have not been met in this situation? The data are a random sample from the population of interest. np 2 10 and n(1 - p) 210 More than one condition is violated. The sample size is less than 10% of the population size. The population distribution is approximately Normal.Choose the correct option and explain.
- A hypothesis test is performed in which the research (alternative) hypothesis states that more than 15% of a population are unemployed. The p-value for the test is calculated to be 0.018 (with the alpha = 0.05). Which of these statements is correct? A. We reject the null hypothesis and conclude that the research hypothesis is correct: more than 15% of the population are unemployed. B. We reject the null hypothesis and conclude that more than 18% of the population are unemployed. C. We fail to reject the null hypothesis and conclude that exactly 15% of the population are unemployed. D. We fail to reject the null hypothesis and conclude that exactly 85% of the population are unemployed.In each of Exercises, we have stated the purpose for performing a hypothesis test to compare the means, µ1 and µ2, of two populations. For each exercise, a.determine the null and alternative hypotheses. Note: Always place the mean of Population 1 on the left.b.classify the hypothesis test as two tailed, left tailed, or right tailed. The primary concern is deciding whether the mean of Population 2 differs from the mean of Population 1.Please provide only typed answer solution no handwritten solution needed allowed
- You run a one sample t-test on your data and get a p value of .003. That means that: you can reject the alternate hypothesis that your sample did not come from this population O you fail to reject the null hypothesis that your sample came from this population O you can reject the null hypothesis that your sample came from this population O you can accept the null hypothesis that your sample came from this populationThe average time in years to get an undergraduate degree in statistics was compared for meals and females. Random sample of 200 male statistics majors and 200 female statistics majors were taken. Choose the appropriate parameter(s) for this situation. [Hint: The parameter(s) to be used in your hypothesis]. O A. P1-P2 O B. H1-H2 O C. None of these O D. p O E. uSuppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.
- A sheriff's department claims that it pays its male and female employees equal wages. You analyze the wages they actually paid the deputies, and you find that the average hourly wage for males was $13.50 and for females it was $12.30. You conduct a t-test for this difference and get a t(obtained) of 1.31. (Hint: you will be using the two-sample hypothesis test) a. State the appropriate null and research hypotheses. b. If you had an alpha of .05 (one-tailed) with 60 degrees of freedom, what would be your t(critical)? c. Pretend you have a t(critical) of +2.000. Pretend you also calculated a t(obtained) of +1.31, write out a full interpretation based on the problem description above.Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON